### Financial Lease Example / Lease With Guaranteed Residual Value

Below is a financial lease example with a guaranteed residual value.

Depending on the terms between the lessor and lessee, a residual value can be guaranteed by the lessee or by a financially capable third party not related to the lessor. It is the amount that both the lessor and the lessee consider a final lease payment, at the end of the lease.

## Transaction Details for the Lease With Guaranteed Residual Value

On January 1, 2022, Mary Company leased a machine from Moira Company for 10 years with the details as follows:

Lease payments every December 31 CU 2,000,000

Useful life of the machine 12 years

Incremental borrowing rate 14%

Implicit interest rate 12%

Present value of an ordinary annuity of 1 for 10 periods

12% 5.6502

14% 5.2161

Present value of 1 for 10 periods

12% 0.3220

14% 0.2697

The mathematical table for the present value of 1 and an ordinary annuity can be obtained here – https://accountingupgrade.com/mathematical-tables/.

Dian Company guarantees that the residual value of the machine is CU 1,000,000 at the end of the lease.

Since there is a guaranteed residual value, there is no more purchase option since the machine will be reverted to the lessor at the end of the lease.

## Cost of Right of Use Asset

Present value of lease payments (2,000,000 x 5.6502) 11,300,400

Present value of guaranteed residual value (1,000,000 x 0.3220) 322,000

Right of use asset/lease liability 11,622,400

The present value factor for 12% was used in computing the present value of the lease payments since it is the implicit interest rate. However, if the implicit interest rate cannot be readily determined, the lessee can use the incremental borrowing rate.

## Table of Amortization

Date | Payment | Interest | Principal | Present Value |

Jan. 1, 2022 | 11,622,400 | |||

Dec. 31, 2022 | 2,000,000 | 1,394,688 | 605,312 | 11,017,088 |

Dec. 31, 2023 | 2,000,000 | 1,322,051 | 677,949 | 10,339,139 |

Dec. 31, 2024 | 2,000,000 | 1,240,697 | 759,303 | 9,579,835 |

Dec. 31, 2025 | 2,000,000 | 1,149,580 | 850,420 | 8,729,415 |

Dec. 31, 2026 | 2,000,000 | 1,047,530 | 952,470 | 7,776,945 |

Dec. 31, 2027 | 2,000,000 | 933,233 | 1,066,767 | 6,710,179 |

Dec. 31, 2028 | 2,000,000 | 805,221 | 1,194,779 | 5,515,400 |

Dec. 31, 2029 | 2,000,000 | 661,848 | 1,338,152 | 4,177,248 |

Dec. 31, 2030 | 2,000,000 | 501,270 | 1,498,730 | 2,678,518 |

Dec. 31, 2031 | 2,000,000 | 321,482 | 1,678,518 | 1,000,000 |

Present value – we have recorded above the recognition of the CU 11,622,400 right-of-use assets which is the present value of the lease payments plus the amount of the certain bargain purchase option as shown in the table below. The present value is the balance of the lease liability after deducting the annual principal payments.

Payment – is the annual lease or fixed payment which is CU 2,000,000.

Interest – is equal to the foregoing present value multiplied by the implicit interest rate of 12%. Thus, for 2022, the interest is CU 11,622,400 x 12% = CU 1,394,688, and for 2023, the interest is CU 11,017,088 x 12% = CU 1,322,051, and so on.

Principal – is the portion of annual rental payments less interest. Thus for 2022, the principal payment nets to CU 605,312 (CU 11,622,400 – CU 1,394,688).

## Journal Entries for 2022

1. To record the right-of-use asset and the lease liability:

Dr. Right of use asset 11,622,400

Cr. Lease liability 11,622,400

2. To record the first lease payment on December 31, 2022.

Dr. Interest expense 1,394,688

Dr. Lease liability 605,312

Cr. Cash 2,000,000

Interest expense and lease liability are obtained from the table of amortization which is as follows:

Payment on December 31, 2022 2,000,000

Interest amortization for 2022

Lease liability, January 1, 2022 11,622,400

Multiply by the implicit interest rate 12%

Interest for 2022 1,394,688

Principal amortization 605,312

3. To record the depreciation for 2022.

Dr. Depreciation 1,062,240

Cr. Accumulated depreciation 1,062,240

The asset is depreciated over the lease term of 10 years since there is neither a transfer nor a reasonably certain purchase option to be exercised.

The depreciable amount is equal to the cost of the right-of-use asset minus the guaranteed residual value amounting to CU 10,622,400 (CU 11,622,400 cost – CU 1,000,000 residual value).

## Return of the Machine to Lessor on December 31, 3031

Since it is a lease with guaranteed residual value, the machine will be returned to the lessor at the end of the lease term. Here are then the entries to record the return of the asset.

Dr. Accumulated depreciation 10,622,400

Dr. Lease liability 1,000,000

Cr. Right of use asset 11,622,400

The accumulated depreciation is determined as follows:

Annual depreciation CU 1,062,240

Multiply by lease term (in years) 10

Accumulated depreciation CU 10,622,400

The lease liability is the remaining amount after the annual principal and lease payments as shown in the amortization table above.

As we can see, there is no payment by the lessee to the lessor since the asset is simply transferred back to the lessor at the end of the lease term. Essentially, the essence of a lease with a guaranteed residual value – is to be returned to the lessor and to satisfy the liability for the residual value guarantee.

Additionally, we can also observe that the remaining carrying amount of the right of use asset is equal to the residual value guarantee.

## Fair Value of Returned Asset Less Than the Guaranteed Residual Value

If ever the actual value of the underlying asset at the end of the lease is less than the guaranteed residual value, a loss is reported for the difference and the lessee must make up for the difference with a cash payment.

Thus, if the fair value of the machine on December 31, 3031 is only CU 500,000, which is CU 500,000 lower than the residual value of CU 1,000,000, an additional entry to record the loss is necessary.

Dr. Loss on finance lease 500,000

Cr. Cash 500,000

However, if the fair value of the asset is higher than the residual value guarantee, there is no more additional entry since there will be no cash settlement anymore from the lessee. Accordingly, the lessor will not reimburse the lessee for any excess of the fair value as compared to the guaranteed residual value at the end of the lease.

**Next Lesson – Accounting for Initial Direct Costs in Leases**